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Finding the Fourth Proportional to 100,531.66, 150,567.76 and 47,978.06

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Solution

The fourth proportional to 100,531.66, 150,567.76 and 47,978.06 is: 71,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,531.66 : 150,567.76 = 47,978.06 : x
  2. Step 2: Convert to fraction form
    100,531.66/150,567.76 = 47,978.06/x
  3. Step 3: Cross multiply
    100,531.66x = 150,567.76 × 47,978.06
  4. Step 4: Simplify right side
    100,531.66x = 7,223,949,023.35
  5. Step 5: Solve for x
    x = 7,223,949,023.35/100,531.66
  6. Step 6: Final answer
    x = 71,857.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.